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Finding the Fourth Proportional to 153,302.40, 211,557 and 86,234.40

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Solution

The fourth proportional to 153,302.40, 211,557 and 86,234.40 is: 119,003.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,302.40 : 211,557 = 86,234.40 : x
  2. Step 2: Convert to fraction form
    153,302.40/211,557 = 86,234.40/x
  3. Step 3: Cross multiply
    153,302.40x = 211,557 × 86,234.40
  4. Step 4: Simplify right side
    153,302.40x = 18,243,490,960.80
  5. Step 5: Solve for x
    x = 18,243,490,960.80/153,302.40
  6. Step 6: Final answer
    x = 119,003.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.